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Finding the Fourth Proportional to 266.69, 400.19 and 164.03

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Solution

The fourth proportional to 266.69, 400.19 and 164.03 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 400.19 = 164.03 : x
  2. Step 2: Convert to fraction form
    266.69/400.19 = 164.03/x
  3. Step 3: Cross multiply
    266.69x = 400.19 × 164.03
  4. Step 4: Simplify right side
    266.69x = 65,641.27
  5. Step 5: Solve for x
    x = 65,641.27/266.69
  6. Step 6: Final answer
    x = 246.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.